Question: A function is homogeneous of degree n when (tx, ty) = t n (x, y). (a) Show that the function is homogeneous and determine

A function ƒ is homogeneous of degree n when ƒ(tx, ty) = tnƒ(x, y).

(a) Show that the function is homogeneous and determine n

(b) Show that xƒx(x, y) + yƒy(x, y) = nƒ(x, y).

ƒ(x, y) = x³ - 3ху2 + y3

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